Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows

@inproceedings{RenardyDerivationOA,
title={Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows},
author={Michael Renardy and Yuriko Renardy}
}

Sideband instabilities following the onset of traveling interfacial waves in two-layer CouettePoiseuille flow are considered. The usual Ginzburg-Landau equation does not apply to this problem due to the presence of a long-wave mode for which the decay rate tends to zero in the limit of infinite wavelength. Instead of the Ginzburg-Landau equation, a coupled set of equations for three amplitude factors is derived. The first corresponds to an amplitude of a traveling wave, the second to a long… CONTINUE READING